Given numbers are 560,195,940,526,706

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 560,195,940,526,706 is 95297376720.

Find LCM of 560,195,940,526,706 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 2 x 5 x 28 x 39 x 47 x 263 x 353 = 95297376720

Therefore, the lowest common multiple of 560,195,940,526,706 is 95297376720.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

560 x 195 x 940 x 526 x 706 = 38118950688000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

195 : 1, 3, 5, 13, 15, 39, 65, 195

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

526 : 1, 2, 263, 526

706 : 1, 2, 353, 706

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,195,940,526,706, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

195:3x 5x 13

940:2x 2x 5x 47

526:2x 263

706:2x 353

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 2x 5x 5 = 400

Therefore, the value for common factors is 400.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 38118950688000/(1x400)

LCM = 38118950688000/400

LCM = 95297376720

Thus, we can understand that the LCM of 560,195,940,526,706 is 95297376720.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 160, 646, 481, 627, 213
• LCM of 750, 912, 187, 533, 733
• LCM of 543, 438, 966, 833, 985
• LCM of 696, 237, 450, 782, 502
• LCM of 113, 519, 871, 202, 617

1. What is the LCM of 560, 195, 940, 526, 706?

Answer: LCM of 560, 195, 940, 526, 706 is 95297376720.

2. How to calculate the LCM of 560, 195, 940, 526, 706?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 560, 195, 940, 526, 706.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.